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Finding the Fourth Proportional to 2,279.94, 3,414.48 and 1,455.66

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Solution

The fourth proportional to 2,279.94, 3,414.48 and 1,455.66 is: 2,180.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.94 : 3,414.48 = 1,455.66 : x
  2. Step 2: Convert to fraction form
    2,279.94/3,414.48 = 1,455.66/x
  3. Step 3: Cross multiply
    2,279.94x = 3,414.48 × 1,455.66
  4. Step 4: Simplify right side
    2,279.94x = 4,970,321.96
  5. Step 5: Solve for x
    x = 4,970,321.96/2,279.94
  6. Step 6: Final answer
    x = 2,180.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.